What is the 3690th prime number?
The 3690th prime number is 34537. The next prime is 34543 (a gap of 6) and the one before is 34519.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 3690th one is 34537.
- 2
34537 is prime because no prime up to ā34537 ā 185.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3690th prime is close to 3690 Ć ln(3690) ā 30307, and here it is 34537.
- 4
34537 has no twin: neither 34535 nor 34539 is prime.
Primes around the 3690th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3687 | 34511 | 10 |
| 3688 | 34513 | 2 |
| 3689 | 34519 | 6 |
| 3690 | 34537 | 18 |
| 3691 | 34543 | 6 |
| 3692 | 34549 | 6 |
| 3693 | 34583 | 34 |
Questions
What is the 3690th prime number?
34537.
Which prime number is 34537?
34537 is the 3690th prime number.
What is the sum of the first 3690 primes?
60,045,247.